Finding the Third Proportional to 137,279 and 204,714

Step by Step Solution

1. Step 1: Write the proportion equation
   137,279 : 204,714 = 204,714 : x
2. Step 2: Convert to fraction form
   137,279/204,714 = 204,714/x
3. Step 3: Cross multiply
   137,279x = 204,714 × 204,714
4. Step 4: Simplify right side
   137,279x = 41,907,821,796
5. Step 5: Solve for x
   x = 41,907,821,796/137,279
6. Step 6: Final answer
   x = 305,274.82